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Finding the Fourth Proportional to 192,902.60, 289,307.12 and 80,521.92

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Solution

The fourth proportional to 192,902.60, 289,307.12 and 80,521.92 is: 120,763.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,902.60 : 289,307.12 = 80,521.92 : x
  2. Step 2: Convert to fraction form
    192,902.60/289,307.12 = 80,521.92/x
  3. Step 3: Cross multiply
    192,902.60x = 289,307.12 × 80,521.92
  4. Step 4: Simplify right side
    192,902.60x = 23,295,564,369.46
  5. Step 5: Solve for x
    x = 23,295,564,369.46/192,902.60
  6. Step 6: Final answer
    x = 120,763.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.